Calculus 2 - Fall 2003

COURSE: MATH 1920-002, CALL # 31416

TIME AND PLACE: 12:35-1:30 MWF and 11:15-12:10 R in Sam Wilson 202

INSTRUCTOR: Dr. Robert Gardner, OFFICE HOURS: 1:30-2:30 MW

OFFICE: Room 308G of Gilbreath Hall

PHONE: 439-6977 (308G Gilbreath), Math Office 439-4349

E-MAIL: gardnerr@etsu.edu

WEBPAGE: http://www.etsu.edu/math/gardner/gardner.htm (see my webpage for a copy of this course syllabus, copies of the classnotes in PDF and Postscript format, and updates for the course).

TEACHING ASSISTANT: Travis Coake OFFICE: Warf-Pickle 308, 309 (Math Lab) OFFICE HOURS: 11:30-12:30 T, 12:00-4:00 W E-MAIL: tcoake@hotmail.com

TEXT: Thomas' Calculus, 10th edition, by G. Thomas, R. Finney, M. Weir, and F. Giordano, Addison-Wesley.

PREREQUISITES: A passing grade in Calculus 1 (MATH 1910).

SAMPLE TESTS: Copies of old tests, along with solutions, are available through the reserve desk of the Sherrod Library. They can also be accessed over the internet. Go to the Voyager Library Catalog and click on "Simple Search." Then select "Course Reserve Search" and select my name from the "Instructor List." Perform the search, click on the title of the solution set of interest, and then you will be allowed access to a PDF copy of the document. Alternatively, you can access them directly:

ONLINE CLASS NOTES: Class notes will be given primarily in the form of overheads. Definitions, theorems, some proofs, and a few examples will be included on the overheads. Most examples and questions concerning homework problems will be written on the board. Copies of the overheads are on reserve in the library, in the Math Lab, and online at:

www.etsu.edu/math/gardner/1920/notes.htm.
It is strongly recommended that you get copies of the overheads before the material is covered in class. This will save you from writing down most notes in class and you can concentrate on listening and supplementing the notes with comments which you find relevant.

ADDITIONAL RESOURCES: Instructor's Solution's Manual by M. Weir, contains worked-out solutions for all exercises in the text. Answer Book contains short answers to most exercises in the text. Student Study Guide by M. Weir, gives study tips and additional practice. Student Solutions Manual by M. Weir contains worked-out solutions to all odd-numbered exercises in the text. A copy of each of these additional resources will be on reserve in the library.

GRAPHING CALCULATORS: "The designated calculator for Calculus I, II, and III will be the TI89. The TI92 is also suitable" [Schedule of Classes Bulletin, Fall 2003 ETSU, p. 69].


TI 89

TI 92
You may use the calculator for each test, but you will be required to show all work for the tests and if you rely on the calculator for solutions, you will get zero credit. You are here to learn calculus and the calculator will be used only as an aid. Whenever calculating derivatives, I will require that you use my "square brackets" notation. A handout explaining this method can be found online at:
http://www.etsu.edu/math/gardner/1110/squareb.htm
A handout on the application of the TI-89 in Calculus 1 is available online at:
www.etsu.edu/math/gardner/1110/ti89.pdf.
Applications of the TI-89 to Calculus 2 will be discussed in class.

Grading and Tests

GRADING: Your grade will be determined by the average on four tests (T1-T4) and the final (F). Your average is determined by

AVERAGE = (T1 + T2 + T3 + T4 + 2F)/6.
Grades will be assigned based on a 10 point scale with "plus" and "minus" grades being assigned as appropriate (based on grade points assigned by the university, on a plus/minus 3 point system).

THE FINAL: We will have a comprehensive final on Wednesday, December 10 from 1:20 p.m. to 3:20 p.m.

GATEWAY EXAM: You must pass a "Gateway Exam" to complete this course. I quote from the "Calculus 2 Gateway Exam" webpage ( math.etsu.edu/calculus/Gate2ann.htm): "You cannot pass Calculus II, [MATH 1920] until you pass the Gateway exam. Because we now require the powerful TI-89 calculator and encourage its use throughout calculus, Gateway exams in calculus have been established to insure that students are still developing pencil and paper computational skills. In Calculus II, Math 1920, the gateway exam covers limits, derivatives and integrals of exponentials, logarithms and inverse trigonometric functions, as well as the techniques of integration. Once [L'Hopital's Rule has been covered in Calculus II, which we will have done by Friday, October 17], you may take the gateway exam 1 time each week until the next to last week of class. Gateway Exams can be taken the last week of class only by permission of the Calculus coordinator. No gateway testing will be offered in the math lab during the last week of class. The examination consists of 10 multiple choice questions and has a 30-minute time limit. A score of 7 out of 10 is required for completion of the course. The purpose of the examination will be to assess each student's acquisition of the basic skills in Calculus. Therefore, no calculators of any kind may be used during the examination. NOTE: Passing the gateway examination does not guarantee a passing grade for the course." This exam will be administered in the Math Lab. A sample Gateway Exam can be found on the internet at:

math.etsu.edu/calculus/gate2htm.htm.
If you take the Gateway Exam before the third in-class test, then I will give you your score on the Gateway Exam as bonus points on Test 3.

Resources to Help You

MATH LAB: The Mathematics Laboratory is located in Rooms 308 and 309 of Warf-Pickle Hall. It is staffed by graduate students and upper level undergraduates. They are there to help you! Hours of operation are Monday 1:00-7:00, Tuesday-Thursday 11:30-7:30, Sunday 1:30-5:30. The phone number is 439-7611. The Math Hotline is 439-7887 (for short questions).

ONLINE HELP: The Addison Wesley Longman Math Tutor Center is available online at

www.awl.com/tutorcenter.
It provides assistance to students who take calculus and purchase a mathematics textbook published by Addison Wesley Longman. Help is provided via phone, fax, and e-mail. Students who use the service will be helped by tutors who are qualified mathematics instructors.

CD-ROM AND WEB SITE: The CD-ROM included with the text has several interactive features and tutorials. It includes video clips of real-world situations which provide motivation for learning and applying calculus. The text web site

www.awl.com/thomas
has the "Just-in-Time" Online Algebra and Trigonometry web-based testing and tutorial system which allows students to practice the algebra and trigonometry skills critical to mastering calculus. The Interactive Calculus Tutorial is an online tutorial which lets students review textbook-specific material by chapter Through practice quizzes and diagnostic feedback on their performance. The Skill Mastery Quizzes are a collection of chapter-by-chapter quizzes on the web site which can be administered and graded online for skills-based mastery assessment.

STUDENT SUPPORT SERVICES: Student Support Services provides free individual tutoring to qualified individuals through their NEXUS program. The criteria state that the student must be: (1) a first-generation college student, meaning, neither of your natural parents has completed a four-year college degree, (2) income eligible, or (3) a student with a documented disability. For more details, see

http://www.etsu.edu/sss/

INSIDE TRACK AND PAL: ETSU's Tutoring Program and Services, a university funded academic support program that offers a variety of tutoring approaches. Inside Track promotes group learning through integrative approaches. Tutoring is provided for selected undergraduate core courses. Services are provided free to all ETSU students. PAL (Peer Assisted Learning) are in-class, group sessions held on the main campus in Johnson City. Tutoring is available for Biology I and II for majors, Physics, Calculus I and II, Chemistry I and II, History, and Probability and Statistics. For additional details, see

http://www.etsu.edu/insidetrack/aboutIT.htm

Additional Information

SYLLABUS ATTACHMENT: You can find an on-line version of the university's syllabus attachment (which contains general information concerning advisement, honor codes, dropping, etc.) at:

www.etsu.edu/reg/syllabus.htm and www.etsu.edu/reg/syllabus.pdf.

NOTE: As you saw in Calculus 1, calculus is the "mathematics of motion." Because of its connection with the physical sciences, calculus is one of the most applicable areas of mathematics. You will see many of the concepts in this class again if you take the Technical Physics sequence or the introductory engineering classes. This material is certainly not easy, though! You should plan on investing a great deal of time in this class. If you allot an appropriate amount of time for your studies (at the very least 2 hours outside of class for each hour spent in the class) then I think this can be a pleasant and rewarding (intellectually and gradewise) experience!

IMPORTANT DATES:

Course Outline
We will follow this tentative outline. "EOO" means Every Other Odd (that is, 1, 5, 9, 13, etc.). Notice that each test is scheduled on a Thursday. On test days, class will start at 8:15 so that you may have extra time (if needed) to work on the test.


DATE
AGENDA
HOMEWORK
MON 8/25
5.4 = Springs, Pumping, and Lifting
5.4 = 1-37 (EOO)
WED 8/27
5.4 (cont.)
-
THR 8/28
5.5 = Fluid Forces
5.5 = 1-17 (EOO)
FRI 8/29
5.5 (cont.)
-
MON 9/1
Labor Day Holiday
-
WED 9/3
5.6 = Moments and Centers of Mass
5.6 = 1-41 (EOO)
THR 9/4
Study Session
-
FRI 9/5
5.6 (cont.)
-
MON 9/8
6.1 = Logarithms
6.1 = 1-77 (EOO)
WED 9/10
6.2 = Exponential Functions
6.2 = 1-77 (EOO)
THR 9/11
Study Session
-
FRI 9/12
6.3 = Inverse Trig Functions
6.3 = 1-53 (EOO)
MON 9/15
6.3 (cont.), 6.4 = First-Order Separable DEs
6.4 = 1-37 (EOO)
WED 9/17
Review
-
THR 9/18
Test 1 (5.4-6.3)
-
FRI 9/19
6.4 (cont.), 6.5 = Linear First-Order DEs
6.5 = 1-29 (EOO)
MON 9/22
6.5 (cont.), 6.6 = Euler's Method
6.6 = 1-13 (EOO)
WED 9/24
6.6 (cont.)
-
THR 9/25
Study Session
-
FRI 9/26
6.7 = Hyperbolic Functions
6.7 = 1-87 (EOO)
MON 9/29
6.7 (cont.), 7.1 = Basic Integration Formulas
7.1 = 1-93 EOO)
WED 10/1
Review
-
THR 10/2
Test 2 (6.4-7.1)
-
FRI 10/3
7.2 = Integration by Parts
7.2 = 1-49 (EOO)
MON 10/6
7.3 = Partial Fractions
7.3 = 1-49 (EOO)
WED 10/8
7.3 (cont.), 7.4 = Trig Substitution
7.4 = 1-41 (EOO)
THR 10/9
Study Session
-
FRI 10/10
7.4 (cont.)
-
MON 10/13
Fall Break (no classes)
-
WED 10/15
7.5 = Integral Tables, etc.
7.5 = 1-45 (EOO)
THR 10/16
Study Session
-
FRI 10/17
7.6 = L'Hopital's Rule
7.6 = 1-45 (EOO)
You are now prepared for the Gateway Exam!!!
-
-
MON 10/20
7.7 = Improper Integrals
7.7 = 1-73 (EOO)
WED 10/22
Review for Test 3
-
THR 10/23
Test 3 (7.2-7.7)
-
FRI 10/24
8.1 = Limits of Sequences
8.1 = 1-73 (EOO)
MON 10/27
8.2 = Subsequences, etc.
8.2 = 1-33 (EOO)
WED 10/29
8.3 = Infinite Series
8.3 = 1-61 (EOO)
THR 10/30
Study Session
-
FRI 10/31
8.3 (cont.), 8.4 = Series of Nonnegative Terms
8.4 = 1-77 (EOO)
MON 11/3
8.4 (cont.)
-
WED 11/5
8.5 = Alternating Series, Convergence
8.5 = 1-61 (EOO)
THR 11/6
Study Session
-
FRI 11/7
8.5 (cont.)
-
MON 11/10
8.6 = Power Series
8.6 = 1-45 (EOO)
WED 11/12
8.6 (cont.)
-
THR 11/13
Study Session
-
FRI 11/14
8.7 = Taylor and Maclaurin Series
8.7 = 1-53 (EOO)
MON 11/17
8.7 (cont.)
-
WED 11/19
Review
-
THR 11/20
Test 4 (8.1-8.7)
-
FRI 11/21
8.8 = Applications of Power Series
8.8 =1-49 (EOO)
MON 11/24
8.9 = Fourier Series
8.9 = 1-21 (EOO)
WED 11/26
8.9 (cont.), 8.10 = Cosine and Sine Series
8.10 = 1-17 (EOO)
THR 11/27
Thanksgiving Holiday (no classes)
-
FRI 11/28
Thanksgiving Holiday (no classes)
-
MON 12/1
8.10 (cont.), Review for Final
-
WED 12/3
Review for Final
-
THR 12/4
Study Session
-
FRI 12/5
Review for Final
-
WED 12/10
Final, 1:20 p.m. to 3:20 p.m.
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